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GCE Mathematics 1989 Question 50

Question 50

Progressions

In an A.P, the first term is 2, and the sum of the 1st and 6th terms is 16½. What is the 4th term?

  1. A.12
  2. B.9½
  3. C.8
  4. D.7
  5. E.5½
Show the answer and explanation

Answer: B (9½)

Explanation

2 + (2 + 5d) = 16½ gives 5d = 12½, so d = 2.5. The 4th term = 2 + 3 × 2.5 = 9½.